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Inhomogeneous exclusion processes with extended objects: The effect of defect locations

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dc.contributorVirginia Techen
dc.contributor.authorDong, J. J.en
dc.contributor.authorSchmittmann, Beateen
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentCenter for Stochastic Processes in Science and Engineering (CSPISE)en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:31Zen
dc.date.available2014-01-17T13:41:31Zen
dc.date.issued2007-11en
dc.description.abstractWe study the effects of local inhomogeneities, i.e., slow sites of hopping rate q < 1, in a totally asymmetric simple exclusion process for particles of size l >= 1 (in units of the lattice spacing). We compare the simulation results of l=1 and l>1 and notice that the existence of local defects has qualitatively similar effects on the steady state. We focus on the stationary current as well as the density profiles. If there is only a single slow site in the system, we observe a significant dependence of the current on the location of the slow site for both l=1 and l>1 cases. When two slow sites are introduced, more intriguing phenomena emerge, e.g., dramatic decreases in the current when the two are close together. In addition, we study the asymptotic behavior when q -> 0. We also explore the associated density profiles and compare our findings to an earlier study using a simple mean-field theory. We then outline the biological significance of these effects.en
dc.identifier.citationDong, J. J. ; Schmittmann, B. ; Zia, R. K. P., Nov 2007. "Inhomogeneous exclusion processes with extended objects: The effect of defect locations," PHYSICAL REVIEW E 76(5) Part 1: 051113. DOI: 10.1103/PhysRevE.76.051113en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.76.051113en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24875en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.76.051113en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectdriven diffusive systemsen
dc.subjectbethe-ansatz solutionen
dc.subjectescherichia-colien
dc.subjectphase-transitionsen
dc.subjectlocal inhomogeneityen
dc.subjectarbitrary sizeen
dc.subjectmessenger-rnaen
dc.subjectcodon usageen
dc.subjectmodelen
dc.subjecttranslationen
dc.subjectPhysicsen
dc.titleInhomogeneous exclusion processes with extended objects: The effect of defect locationsen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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